An Analysis on Transformational Analogy: General Framework and Complexity
In this paper we present TransUCP, a general framework for transformational analogy. Using our framework we demonstrate that transformational analogy does not meet a crucial condition for a well-known worst-case complexity scenario, and therefore the results about plan adaptation being computationally harder than planning from the scratch does not apply to transformational analogy. We prove this by constructing a counter-example that does not meet this condition. Furthermore, we perform experiments that demonstrate that this counter-example is not an exception. Rather, our experiments show that it is unlikely that this condition will be met when performing plan adaptation with transformational analogy.
KeywordsGoal State Plan Adaptation Plan Node Solution Plan Partial Plan
Unable to display preview. Download preview PDF.
- Au, T.C., Muñoz-Avila, H., Nau, D.S.: On the Complexity of Plan Adaptation by Derivational Analogy in a Universal Classical Planning Framework. In: Craw, S., Preece, A.D. (eds.) ECCBR 2002. LNCS (LNAI), vol. 2416. Springer, Heidelberg (2002)Google Scholar
- Carbonell, J.G.: Learning by analogy: formulating and generalizing plans from past experience. In: Michalski, R.S., Carbonell, J.G., Mitchell, T.M. (eds.) Machine Learning: An Artificial Intelligence Approach, Tioga, Palo Alto, California (1983)Google Scholar
- Carbonell, J.G.: Derivational analogy: A theory of reconstructive problem solving and expertise acquisition. Machine Learning (1986)Google Scholar
- Cunningham, P., Finn, D., Slattery, S.: Knowledge Engineering Requirements in Derivational Analogy. In: Proceedings of the European Workshop on Case-Based reasoning (ECCBR 1996). Springer, Heidelberg (1996)Google Scholar
- Kambhampati, S., Srivastava, B.: Universal Classical Planner: An algorithm for unifying state-space and plan-space planning. In: Proceedings of the third European Workshop on Planning (EWSP 1995) (1995)Google Scholar
- Hanks, S., Weld, D.: A domain-independent algorithm for plan adaptation. Journal of Artificial Intelligence Research 2 (1995)Google Scholar
- Ihrig, L., Kambhampati, S.: Design and implementation of a replay framework based on a partial order planner. In: Proceedings of AAAI 1996. IOS Press, Amsterdam (1996)Google Scholar
- Cox, M.T., Munoz-Avila, H., Bergmann, R.: Case-based planning. Knowledge Engineering Review (to appear, 2006)Google Scholar
- Weld, D.: An Introduction to Least Commitment Planning. AI Magazine 15(4), 27–61 (1994)Google Scholar
- Kuchibatla, V.: TransUCP: An Analysis on Transformational Analogy. MS Thesis. Computer Science and Engineering. Department. Lehigh University (2006)Google Scholar